Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.4 - Predicates and Quantifiers - Exercises - Page 53: 14

Answer

a) 1 b) 1 c) 1 d) 0

Work Step by Step

Before starting the problem, consider the domain, all real numbers. a) $\exists x(x^3=-1)$ is satisfied by $x=-1$, so the statement is true. b) $\exists x(x^4x)$ is $x=-1$, so the statement is not true.
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